In this paper, we investigate the effects of wall slip conditions, elasticity wall properties and heat transfer on the peristaltic transport of conducting Bingham fluid in a non-uniform channel under the assumptions of long wavelength and low-Reynolds number. The expressions for velocity, stream function, temperature and heat transfer coefficient are obtained. The effects of the physical parameters on the velocity and temperature fields are presented through graphs. The effect of increase in the two (E1 & E2) of the three wall property parameters is to enhance the velocity and temperature in the channel whereas opposite behaviour is noticed regarding the other parameter E3. Also the size of the trapped bolus gets reduced due to the increase in the magnetic parameter M. © 2015 The Authors.